Title: DUCT AEROACOUSTICS
1DUCT AEROACOUSTICS from Technological
Applications to the Flute
Sylvie Dequand Supervisors A. Hirschberg
Y. Aurégan
Technische Universiteit Eindhoven
2DUCT AEROACOUSTICS
DUCT AEROACOUSTICS
DUCT AEROACOUSTICS
ACOUSTICS ? science of sound
small pressure wave example of source loudspeaker
3from Technological Applications to the Flute
The cross-junction ? Acoustical measurements ?
Flow visualization ? Simple analytical model ?
Numerical simulations
4from Technological Applications to the Flute
p(t)
Acoustical pressure p at the resonance frequency
f c0 / 4L
closed side branch
L l /4
p
U0
? no radiation in the main pipe ?
acoustically closed system at the resonance
frequency ? good testcase of the Euler code
5from Technological Applications to the Flute
1st hydrodynamic mode (p1)
Acoustic modes
2nd hydrodynamic mode (p2)
p1
p2
n 3
L
n 2
n 1
6from Technological Applications to the Flute
Numerical simulations
Flow visualization by Peters (1993)
7from Technological Applications to the Flute
1.5
pulsation amplitude u/U0 at the junction
Euler simulations
1
measurements
0.5
p(t)
0
L
U0
-0.5
-1
0.5
1
1.5
2
2.5
3
0
time t/T
8from Technological Applications to the Flute
The sunroof of a car
Flow (U?0)
Renault Avantime European project Flodac
9from Technological Applications to the Flute
Helmholtz resonator
10from Technological Applications to the Flute
Helmholtz resonator effect of the inner edge
Pulsation Amplitude in the neck
11from Technological Applications to the Flute
Helmholtz resonator effect of the downstream edge
Pulsation Amplitude in the neck
12from Technological Applications to the Flute
Helmholtz resonator effect of the downstream edge
Pulsation Amplitude in the neck
13from Technological Applications to the Flute
Helmholtz resonator
vortex path
numerical simulations
14Helmholtz resonator
can be removed
flow
fixed
W
opening
H
cavity
15from Technological Applications to the Flute
Our flute
can be removed
flue channel
60o-labium
fixed
W
jet flow
mouth
cavity
H
the transverse flute
16from Technological Applications to the Flute
Our flute
15o-labium
flue channel
W
jet flow
mouth
cavity
H
the recorder